{
 "cells": [
  {
   "cell_type": "code",
   "source": [
    "from gaussian_process import RBFKernel, GaussianProcessRegressor\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "execution_count": 28,
   "outputs": []
  },
  {
   "cell_type": "markdown",
   "source": [
    "## GaussianProcess for regression"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "outputs": [],
   "source": [
    "def get_y(x, alpha):\n",
    "    return np.cos(x)*0.3 + np.random.normal(0, alpha, size=x.shape)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "outputs": [],
   "source": [
    "observation_size = 6\n",
    "gpr = GaussianProcessRegressor(RBFKernel, sigma_overall=0.04, l_scale=0.5, alpha=1e-4)\n",
    "sample_size = 3"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Prior distribution"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "outputs": [],
   "source": [
    "test_x = np.linspace(0, 10, 100)\n",
    "prior_mean, prior_cov = gpr.predict(test_x, return_cov=True)\n",
    "sample_ys = gpr.sample_func(test_x, n_samples=sample_size)\n",
    "uncertainty = 1.96 * np.sqrt(np.diag(prior_cov))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(test_x, prior_mean, label='mean')\n",
    "plt.fill_between(test_x, prior_mean-uncertainty, prior_mean+uncertainty, alpha=0.1)\n",
    "for i in range(sample_size):\n",
    "    plt.plot(test_x, sample_ys[i], linestyle='--')\n",
    "plt.legend()\n",
    "plt.title('prior')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Posterior distribution"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "outputs": [],
   "source": [
    "train_x = np.array([3, 1, 4, 5, 7, 9])\n",
    "train_y = get_y(train_x, alpha=1e-4)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "outputs": [],
   "source": [
    "gpr.fit(train_x, train_y)\n",
    "y_mean, y_cov = gpr.predict(test_x, return_cov=True)\n",
    "sample_ys = gpr.sample_func(test_x, n_samples=sample_size)\n",
    "uncertainty = 1.96 * np.sqrt(np.diag(y_cov))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(test_x, y_mean, label='mean', linewidth=3)\n",
    "plt.fill_between(test_x, y_mean-uncertainty, y_mean+uncertainty, alpha=0.1)\n",
    "for i in range(sample_size):\n",
    "    plt.plot(test_x, sample_ys[i], linestyle='--')\n",
    "plt.scatter(train_x, train_y, c='red', marker='x', label='observation', linewidths=5)\n",
    "plt.legend()\n",
    "plt.title('posterior')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "name": "tensorflow2",
   "language": "python",
   "display_name": "Python[conda env:tensorflow2]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}